Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Part 1) Write pseudocode for an iterative algorithm which finds the maximum value of a list
of integers. Use a loop invariant to prove your algorithm is correct. (Presumably you have
already witten a program like this over the course of your studies! The interesting part here
is the proof.)
Part 2) Prove by induction the recursive program Foo is correct:
Foo determines if there are two indices i and j, p<i < j< q, such that a; +a; = x.
(We're looking in a particular range of sorted list A, indices [p, q] (so including index p as
well as index q), for two values a; and a, which sum to r. We don't allow i and j to be equal.)
laj
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Transcribed Image Text:Part 1) Write pseudocode for an iterative algorithm which finds the maximum value of a list of integers. Use a loop invariant to prove your algorithm is correct. (Presumably you have already witten a program like this over the course of your studies! The interesting part here is the proof.) Part 2) Prove by induction the recursive program Foo is correct: Foo determines if there are two indices i and j, p<i < j< q, such that a; +a; = x. (We're looking in a particular range of sorted list A, indices [p, q] (so including index p as well as index q), for two values a; and a, which sum to r. We don't allow i and j to be equal.) laj
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